Extrapolating the Fractal Characteristics of an Image Using Scale-Invariant Multiple-Point Statistics |
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| Authors: | Grégoire Mariethoz Philippe Renard Julien Straubhaar |
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| Institution: | (1) School of Geography, University of Southampton, Highfield, Southampton, SO17 1BJ, UK |
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| Abstract: | The resolution of measurement devices can be insufficient for certain purposes. We propose to stochastically simulate spatial
features at scales smaller than the measurement resolution. This is accomplished using multiple-point geostatistical simulation
(direct sampling in the present case) to interpolate values at the target scale. These structures are inferred using hypothesis
of scale invariance and stationarity on the spatial patterns found at the coarse scale. The proposed multiple-point super-resolution
mapping method is able to deal with “both continuous and categorical variables,” and can be extended to multivariate problems.
The advantages and limitations of the approach are illustrated with examples from satellite imaging. |
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